
Finding Extrema in Functions
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is another term for extrema?
Maximums and minimums
Derivatives
Integrals
Inflection points
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the highest point on a function called?
Absolute maximum
Relative maximum
Absolute minimum
Relative minimum
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which type of extrema is the highest point in a specific area of a function?
Relative maximum
Absolute minimum
Absolute maximum
Relative minimum
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might a function not have an absolute maximum?
It is not continuous
It is not differentiable
It extends infinitely
It is not defined
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the Extreme Value Theorem state about continuous functions on a closed interval?
They have both a minimum and a maximum
They are always increasing
They have no extrema
They are always differentiable
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a critical number?
A point where the function is increasing
A point where the function is continuous
A point where the derivative is zero or undefined
A point where the function is not defined
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding extrema on a closed interval?
Draw the graph
Calculate the integral
Find the critical numbers
Evaluate the endpoints
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